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IF a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 58
by Euclides - 1841 - 351 pages

## Annual Report

1886 - 568 pages
...Equal triangles on the same base and on the same side of it, are between the same parallels. 5. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the...

## Glasgow University Calendar

University of Glasgow - 1883 - 438 pages
...these shall be less than the other two sides of the triangle but shall contain a greater angle. 3. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts together with the square on the line between the points of...

## The Practical Teacher, Volume 2

Education - 1883 - 658 pages
...any two parts at C. Then rcct. AB, BC = reel. AC, BC, together with sq. on BC.— See Prop. 3, 3. If a straight line be divided into two equal, and also into two unequal, parts, the sqs. on the two unequal parts are together double of the sq. on half the line, and of the sq. on the...

## Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...part, This proposition is generally omitted by the student. IX. — If a straight line be divided ^nto two equal, and also into two unequal parts, the squares...square of the line between the points of section. Let AB be divided into two equal parts in C, and into two unequal parts in D. Then the squares of AD, DB...

## University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pages
...alternate angles equal to one another, the two straight lines shall be parallel to one another. 6. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the...

## Annual Report of the Chief Superintendent of Education

1885 - 608 pages
...lines make the alternate angles equal to one another, these two straight lines must be parallel. 3. If a straight line be divided into two equal and also into two unequal parts, the squares on the two .unequal parts are together double of the square on half the line and of the square on the...

## Calendar of Dalhousie College and University

Dalhousie University - 1886 - 216 pages
...other and the angles included by the sides supplementary, the triangles shall be equal in area. 2. If a line be divided into two equal and also into two unequal parts, the rectangle contained by the two latter, together with the square of the line between the points of section,...

## First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - Geometry - 1887 - 202 pages
...the rectangle ABCD is equal to twice the triangle AEF together with the rectangle BE, DF. 231. If a line be divided into two equal and also into two unequal...the squares of the two unequal parts are together equal to twice the rectangle contained by these parts together with four times the square of the line...